# How do you solve #sqrt(5x^2-9)=2x# and check your solution?

##### 1 Answer

Sep 4, 2017

#### Answer:

(see below for solution and check)

#### Explanation:

Given

Squaring both sides (this may introduce extraneous solutions; we will need to check later)

Subtract

Factor the left side

which implies

Checking for extraneous solutions:

The only valid solution is